Regularity and h-polynomials of edge ideals

被引：0
|
作者：
Hibi, Takayuki [1 ]
Matsuda, Kazunori [2 ]
Van Tuyl, Adam [3 ]
机构：
[1] Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Suita, Osaka 5650871, Japan
[2] Kitami Inst Technol, Kitami, Hokkaido 0908507, Japan
[3] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4L8, Canada
来源：
ELECTRONIC JOURNAL OF COMBINATORICS | 2019年 / 26卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For any two integers d, r >= 1, we show that there exists an edge ideal I (G) such that reg (R/I(G)), the Castelnuovo-Mumford regularity of R/I(G), is r, and deg h(R)(/I)((G))(t), the degree of the h-polynomial of R/I(G), is d. Additionally, if G is a graph on n vertices, we show that reg (R/I(G)) + deg h(R)(/I)((G)) (t) <= n.
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页数：11
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